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arXiv · 2201.05138

Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order

Gihyuk Cho·Rafael A. Porto·Zixin Yang
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Abstract

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including finite-size and tail effects. The calculation is carried out through the worldline effective field theory framework. We find agreement in the overlap with the available PN literature and test-body limit. As a direct application, we complete the knowledge of spin effects in the evolution of the orbital phase for aligned-spin circular orbits to fourth PN order. We estimate the impact of the new results in the number of accumulated gravitational-wave cycles. We find they will play an important role in providing reliable physical interpretation of gravitational-wave signals from spinning binaries with future detectors such as LISA and the Einstein Telescope.

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Gihyuk Cho, Rafael A. Porto, Zixin Yang. 2022-01-13. Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order. https://doi.org/10.1103/physrevd.106.l101501

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